Genus 2 curves of conductor 476

Results (unique match)

 

Label	Class	Conductor	Discriminant	Rank*	2-Selmer rank	Torsion	$\textrm{End}^0(J_{\overline\Q})$	$\textrm{End}^0(J)$	$\GL_2\textsf{-type}$	Sato-Tate	Nonmaximal primes	$\Q$-simple	\(\overline{\Q}\)-simple	\(\Aut(X)\)	\(\Aut(X_{\overline{\Q}})\)	$\Q$-points	$\Q$-Weierstrass points	mod-$\ell$ images	Locally solvable	Square Ш*	Analytic Ш*	Tamagawa	Regulator	Real period	Leading coefficient	Igusa-Clebsch invariants	Igusa invariants	G2-invariants	Equation
476.a.952.1	476.a	\( 2^{2} \cdot 7 \cdot 17 \)	\( - 2^{3} \cdot 7 \cdot 17 \)	$0$	$1$	$\Z/3\Z\oplus\Z/6\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$4$	$0$	2.90.1, 3.5760.3	✓	✓	$1$	\( 3 \)	\(1.000000\)	\(26.722339\)	\(0.247429\)	$[7340,1042345,2905273355,121856]$	$[1835,96870,-3910340,-4139817700,952]$	$[20805604708146875/952,299272981175625/476,-27661753375/2]$	$y^2 + (x^3 + 1)y = -5x^4 + 7x^3 + 25x^2 - 75x + 54$